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Finding the Fourth Proportional to 204,493.59, 306,880.50 and 71,373.86

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Solution

The fourth proportional to 204,493.59, 306,880.50 and 71,373.86 is: 107,109.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,493.59 : 306,880.50 = 71,373.86 : x
  2. Step 2: Convert to fraction form
    204,493.59/306,880.50 = 71,373.86/x
  3. Step 3: Cross multiply
    204,493.59x = 306,880.50 × 71,373.86
  4. Step 4: Simplify right side
    204,493.59x = 21,903,244,309.33
  5. Step 5: Solve for x
    x = 21,903,244,309.33/204,493.59
  6. Step 6: Final answer
    x = 107,109.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.